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Finding the Fourth Proportional to 3,084.29, 4,625.32 and 892.56

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Solution

The fourth proportional to 3,084.29, 4,625.32 and 892.56 is: 1,338.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.29 : 4,625.32 = 892.56 : x
  2. Step 2: Convert to fraction form
    3,084.29/4,625.32 = 892.56/x
  3. Step 3: Cross multiply
    3,084.29x = 4,625.32 × 892.56
  4. Step 4: Simplify right side
    3,084.29x = 4,128,371.16
  5. Step 5: Solve for x
    x = 4,128,371.16/3,084.29
  6. Step 6: Final answer
    x = 1,338.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.